1. 4j+k, -3k+7, 5-2j, and j+k-8

2. 5x^2-9x+3 and -2x^3+4x^2+7

1. The sum for the **algebraic expression** 4j+k, -3k+7, 5-2j, and j+k-8 is 3j-k+4

2.The sum for the **algebraic expression** 5x^2-9x+3 and -2x^3+4x^2+7 is -2x³+9x²-9x+10

The addition of two or more numbers or quantities taken with regard to their signs according to the rules of **addition** in **algebra**.

First we will find the sum of 4j+k, -3k+7, 5-2j, and j+k-8

0i + 4j + k + 0

0i + 0j - 3k + 7

0i - 2j + 0k + 5

0i + j + k- 8

So the sum of 4j+k, -3k+7, 5-2j, and j+k-8 is 3j-k+4

First we will find the sum of 5x²-9x+3 and -2x³+4x^2+7

0x³ + 5x² - 9x + 3

-2x³ + 4x² + 0x+ 7

So the sum of 5x²-9x+3 and -2x³+4x²+7 is -2x³+9x²-9x+10

Therefore, the sum of the given **algebraic expressions** 4j+k, -3k+7, 5-2j, and j+k-8 is 3j-k+4 and 5x²-9x+3 and -2x³+4x²+7 is -2x³+9x²-9x+10.

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The figures below are congruent. Name the corresponding sides.

**Answer:**

KM

KL

LM

**Step-by-step explanation:**

-2

-3

S

y = -2|x|

2

X

The function is positive when

The function is negative when

The function is increasing when

The function is decreasing when

**Answer: Never, All real numbers, x<0, x>0**

**Step-by-step explanation:**

The function is positive when it is above the x-axis.

The function is negative when it is below the x-axis.

The function is increasing when the graph is going up.

The function is decreasing when the graph is going down.

find the values of a,b,c, and d so that h(x)=a|bx+c|+d is a translation 7 units up and 1 unit right, followed by a reflection in the y-axis of the graph of g(x)=1/3|x+3|-4

The **translation **shift the coordinates of the expression in the right side. And there is no change in the **reflection **based equation because of the absolute symbol.

**What is translation and reflection?**

In mathematics, the **translation **shift the coordinates either on the horizontal axis or on the vertical axis. It compress the expression also. Similarly, in **reflection**, the expression get **reflected **on the coordinate axis either on the upper side or downward side.

According to the question, the given expression for the **translation **as well as for the **reflection **are as follows:

h(x)=a |b(x) + c| + d

g(x)=1/3 | x + 3| - 4

And the given condition state that the **translation **is for 7 units and reflection is on the y-axis. **Translation **shift the expression and **reflection **reflects the expression.

**Translation **expression: h(x+7)=a |b(x+7) + c| + d

**Reflection **expression: g(-x)=1/3 | -x + 3| - 4 = 1/3 | x + 3| - 4

Therefore, the **translation **shift the coordinates of the expression in the right side. And there is no change in the **reflection **based equation because of the absolute symbol.

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what’s the inequality

17 < 9 + x

**Answer:**

x > 9

**Step-by-step explanation:**

Evaluate the arithmetic series described:

a (subscript 1) = 12

a (subscript n) = 64

Find S (subscript 14)

Answers:

541

532

1082

1064

...the subscript thing isn't working for some reason

**Answer:**

532

**Step-by-step explanation:**

**Sum **of the first n terms of an **arithmetic series**:

[tex]\boxed{S_n=\dfrac{n}{2}(a_1+a_n)}[/tex]

Where:

aₙ is the nth term.a₁ is the first term.n is the position of the term.Given terms:

[tex]a_1=12[/tex][tex]a_n=64[/tex]**Substitute **the given **terms** into the **formula **to create an **equation **for the **nth term**:

[tex]\implies S_n=\dfrac{n}{2}(12+64)[/tex]

[tex]\implies S_n=\dfrac{n}{2}(76)[/tex]

[tex]\implies S_n=38n[/tex]

To find S₁₄, substitute **n = 14** into the found **equation**:

[tex]\begin{aligned}n=14 \implies S_{14}&=38(14)\\ & = 532\end{aligned}[/tex]

I'm doing linear equations and one if the things says y = -x so do i plug in the x that i have already and just switch it to the opposite integer????

To solve for y we will have to simply replace the value of x and the solution we write it in the equivalent palce for y, that is:

For x = -5:

[tex]y=-(-5)\Rightarrow y=5[/tex]For x = -2:

[tex]y=-(-2)\Rightarrow y=2[/tex]For x = 0:

[tex]y=0[/tex]For x = 3:

[tex]y=-3[/tex]Find the quotient of.(4.617 × 10 ^3 ) ÷ (5,700 ÷ 10^ 2 )

The **quotient **of the **expression **(4.617 × 10³ ) ÷ (5,700 ÷ 10² ) is 81.

**What is an expression?**

**Mathematical **expression is defined as the collection of the **numbers variables **and **functions **by using **signs **like addition, subtraction, multiplication, and division.

Given that;

The **expression **is;

(4.617 × 10³ ) ÷ (5,700 ÷ 10² )

Now, Solve the **expression **by using BODMAS rule;

= (4.617 × 10³ ) ÷ (5,700 ÷ 10² )

= 4,617 ÷ 57

= 81

Thus, The **quotient **of the **expression **(4.617 × 10³ ) ÷ (5,700 ÷ 10² ) is 81.

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Rebecca wants to prove that if the diagonals in a parallelogram are perpendicular, then it is a rhombus.

It is shown that if a parallelogram's diagonals are **perpendicular**, the parallelogram is a **rhombus.**

A parallelogram is a **quadrilateral **with two **parallel** sides (and therefore opposite angles equal).

A rhombus is a quadrilateral with all of its sides equal. Because opposite **sides** of a parallelogram are **equal**, a rhombus is a type of parallelogram in which all sides are equal.

We must demonstrate that if the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

Let ABCD be a parallelogram .

Consider Δ AOD and Δ COD

Since, a parallelogram's diagonals bisect each other we can say that,

AO = CO

∠AOD = ∠COD = 90°

DO = OD

Δ AOD ≅ Δ COD [SAS rule]

∴ AD = CD

Because the parallelogram's adjacent sides are equal, we can conclude that all four sides are equal.

As a result, it is demonstrated that if the diagonals of a parallelogram are **perpendicular**, the parallelogram is a **rhombus.**

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Find the value of p in the inequality.

three fourths times p plus 8 is greater than or equal to 3

The** value **of p that we get by solving the **inequality **given in the question is [tex]p\geq \frac{-20}{3}[/tex]

The given **inequality** is

[tex]\frac{3}{4}p+8\geq 3[/tex]

⇒[tex]\frac{3}{4}p\geq 3-8[/tex] (subtracting 8 on both sides)

⇒[tex]3p\geq -5*4[/tex] (multiplying both sides by 4)

⇒[tex]p\geq \frac{-20}{3}[/tex] (dividing both sides by 3)

⇒[tex]p\geq -6.667[/tex]

Therefore the **value** of p must be greater than or equal to -20/3 or -6.667

That is, [tex]p\geq -6.667[/tex]

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5

8

of the staff are male. 5

12

of the staff works part time at

the aquarium. What fraction of the staff is female?

The **fraction** that are **female** in the company is 227/256

The given parameters are

Male staff = 58

Total number of staff = 512

Start by calculating the number of **female staffs**

So, we have

Female staff = Total number of staff - Male staff

Substitute the known values in the above **equation**

So, we have

Female staff = 512 - 58

Evaluate the like terms

Female staff = 454

The fraction that are female is

Fraction = Female staff/Total number of staff

This gives

Fraction = 454/512

Simplify

Fraction = 227/256

Hence, the **fraction **is 227/256

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write the equation of the line in a fully simplified slope-intercept form.

**Slope intercept form: **[tex]y=mx+b[/tex]

We can identify **two points** on the given graph and solve for the slope and the y-intercept.

Two clear points on the graph are (6,0) and (0,6).

**First, we can solve for the slope by using the slope equation:**

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

⇒ Plug in the points (6,0) and (0,6):

[tex]m=\dfrac{0-6}{6-0}\\\\m=\dfrac{-6}{6}\\\\m=-1[/tex]

*Therefore. the slope of the line is -1*. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-x+b[/tex]

**Now, we can find the y-intercept.** It is the value of y when the line crosses the y-axis.

In this case, we can see on the graph that this is 6.

[tex]y=-x+6[/tex]

Answer[tex]y=-x+6[/tex]

I need help with finding the coordinates of B, I found A but I can't seem to get the right answer for B.

The graph represents the **cosine graph**, the **coordinates **of** B** is (-180, -1 )

This is a type of graph used to depict **cosine **values of angles. The maximum and minimum points in these type of graph is 1 and -1.

The zero points gives the **maximum **point on the graph, hence the graph starts at ( 0, 1 )

**Point B** is found by analyzing the graph.

The point is located at the minimum which is -1. this is for the output value.

The input value which is the x direction we look at the cycles covered. one **full cycle **is 360 degrees or -360 degrees.

Point B is in the **negative **and coves** half cycle** which is -180

Hence B ( -180, -1)

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the half-life of palladium-100 is 4 days. after 12 days a sample of palladium-100 has been reduced to a mass of 4 mg. what was the initial mass (in mg) of the sample? what is the mass (in mg) 7 weeks after the start? you may enter the exact value or round to 4 decimal places.

Using the** half life **of **palladium**, mass seven weeks after start was 0.7931 gm.

The half-life is the amount of time it takes for a quantity (of material) to fall to the cost. In **nuclear **physics, the phrase usually refers to how rapidly neutrons become **radioactive **atoms or how long stable atoms survive.

The term can also refer to any sort of hyperbolic (or, in rare situations, non-exponential) decay.

The half life of palladium 100 = 4 days

after 24 days sample has reduced to a mass of 5mg

standard exponential **function **is

[tex]P = P_o e^{kt}[/tex]

plugging P = P₀ /2

[tex]P_o/2 = P_o e^{4k }[/tex]

[tex]1/2 = e^{4k }[/tex]

ln (1/2) = 4k

k = -0.1733

function becomes

[tex]P = P_o e^{- 0.1733 t }[/tex]

plugging P = 5 and t = 24

[tex]5 = P_o e^{( - .1733\times 24 ) }[/tex]

P₀ = 320.10

In the medical sciences, for example, the biological half of drugs and other chemicals in the human body is referred to. The flipside of half-life is doubling time in **exponential **growth.

For the second part of the problem:

7 weeks = 5 × 7 =49 days

plugging t = 49

[tex]P = 320.10 e^{(-.1733 * 35 ) }[/tex]

mass 7 weeks after = 0.7431 mg

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I need helping finding out the answers … I’m confused.

To solve this problem, **we will use the following formula for the area of a trapezoid**:

where a, and b are the lengths of the bases and h is the height.

Now, we are given that ( we will omit the units to simplify the calculations):

[tex]\begin{gathered} h=\frac{1}{4}(a+b), \\ h=2\frac{1}{2}. \end{gathered}[/tex]Therefore:

[tex]\frac{(a+b)}{2}=2(\frac{a+b}{4})=2h=2(2+\frac{1}{2})=4+1=5.[/tex]Substituting in the above formula, we get:

[tex]A=\frac{5}{2}\times(2\frac{1}{2}).[/tex]Simplifying the above result, we get:

[tex]A=\frac{25}{4}ft^2.[/tex]**Answer:**

Which of these shapes are a trapezoid?

**Answer: The Pink one**

**Step-by-step explanation: Trapezoids have 2 parallel sides and 2 non-parallel sides.**

11. A researcher in a personal submarine begins at the surface of the ocean.

The submarine descends 20.6 meters and then ascends 57 meters. What

is the depth of the personal submarine?

A-26.3 meters

14.9 meters

B-14.9 meters

26.3 meters

The **depth **of the personal **submarine** is -14.9 meter.

An** integer** is a whole number that can be positive, negative, or zero and is not a** fraction**. **Integer **examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other** numbers** that are not **integers** are some examples.

Given that,

The submarine **descends **20.6 meters and then **ascends **5.7 meters. it means 20.6 is a negative number and 5.7 is a positive number.

Now,

To find the depth adding the -20.6+5.7

-20.6+5.7

-14.9

Hence, The **depth **of the personal **submarine** is -14.9 meter

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Please help me please I’m begging I WILL GIVE YOU BRAINLEST

The value of** x** is 54.

If a** transversal **meets two **parallel lines**, each pair of same-side **interior angles** is **supplementary** (their sum is 180°), according to the theorem for the "**same-side interior angle theorem**."

The given **angles** in the figure are 2x + 42° and x - 24°, which are** interior angles** formed on the same side of the **transversal**.

By** Same Side Interior Angles Theorem,**

2x + 42° + x - 24° = 180°

3x + 18° = 180°

3x = 180° - 18°

3x = 162°

x = 54

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Find the slope:

(-3, 3) and (7, 6)

**Answer:**

slope = (3/10)

**Step-by-step explanation:**

(-3, 3) and (7, 6)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 6 - 3 3 3

m = ------------ = ------------ = ------------ = ----------

x₂ - x₁ 7 - (-3) 7 + 3 10

I hope this helps!

Solve the system of linear equations using the substitution method.

4x + 7y = 19 and y = x + 9

A. (-4, 5)

B. (-6, 4)

C. (-1, 2)

D. (-4, 3)

**Answer:D**

**Step-by-step explanation:**

What is the value of x?

**Answer:**

x = 15

**Step-by-step explanation:**

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

3x - 5 is an exterior angle of the triangle, then

3x - 5 = x + 25 ( subtract x from both sides )

2x - 5 = 25 ( add 5 to both sides )

2x = 30 ( divide both sides by 2 )

x = 15

**Answer:**

40° and 115°

**Step-by-step explanation:**

x+3x-5+25°=180°(angle on a straight line)

4x+20=180°

4x=180°-20

4x=160°

x=160/4

x=40°

The other angle

3x-5=3(40)-5

120-5=115°

total

40°+25°+115°=180°

Last year, Lena biked 565 miles. This year, she biked k miles. Using k, write an expression for the total number of miles she biked

565+k

hope this helps!

hope this helps!

Solve each equation by factoring. Then solve the quadratic formula. (Show all work)

[tex] - {k}^{2} + 3k = 28 - 2 {k}^{2} \\ - {k}^{2} + 2 {k}^{2} + 3k - 28 = 0 \\ {k}^{2} + 3k - 28 = 0 \\ (k + 7)(k - 4) = 0 \\ \\ k + 7 = 0 \\ \\ ork - 4 = 0 \\ \\ k = - 7 \\ \\ or \\ \\ k = 4[/tex]

ATTACHED IS THE SOLUTION

**I**** ****GROUPED**** ****THE**** ****LIKE**** ****TERMS**** ****TOGETHER**** ****F****I****R****S****T**** ****AFTER**** ****THAT**** ****THEN**** ****FACTORISED****. **

k (x)=6x-12 ; k(x)=15

The **input value **x in the **function **k( x ) = 6x - 12 when k( x ) = 15 is 9/2.

A **function **is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.

Given the data in the question;

k( x ) = 6x - 12k( x ) = 15x = ?To determine the value of x, equate the function to 15 and solve for x.

k( x ) = 6x - 12

k( x ) = 15

15 = 6x - 12

Rearrange the equation

6x - 12 = 15

Collect like terms

6x = 15 + 12

6x = 27

Divide but sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

Therefore, the **input value **(**x**) is 9/2, this forms an ordered pair of ( 9/2, 15 ).

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Solve the equation for the given variable. (type "no solution" if the equation has no solution and type "all

real numbers" if the equation is valid for all possible x-values)

4(4x + 2) + 2(9x + 4) + 3 = 34x + 19

**Answer:**

all real numbers

**Step-by-step explanation:**

4(4x+2)+2(9x+4)+3=34x+19

16x+8+18x+8+3=34x+19

34x+19=34x+19

all real numbers

:]

11. The price of a sweater changed from $20 to $12. By what percentage was the price of the sweater

changed?

The price of the sweater decreased by __ %

well, the change was 8 bucks.

if we take 20 to be the 100%, what is 8 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 20 & 100\\ 8& x \end{array} \implies \cfrac{20}{8}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2}=\cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40[/tex]

A restaurant chain is measuring the levels of arsenic in chicken from its suppliers. The question is whether there is evidence that the mean level of arsenic is greater than 80 ppb, so we are testing vs , where represents the average level of arsenic in all chicken from a certain supplier. It takes money and time to test for arsenic so samples are often small. A sample of chickens from one supplier is tested, and the resulting sample mean is . Subtracting 11 from the sample data to move the mean down to the null mean of results in the following data: . 62, 78, 89, 95, 95, 137

The **p**-**value** of the test is 0.1515 which concludes that the **average** **amount** of **arsenic** in chicken from **suppliers** is 80 ppb.

The **test** **hypothesis** is as follows:

H₀: The mean amount of arsenic is 80 ppb, i.e. μ= 80.

Hₐ: The mean amount of arsenic is more **significant** than 80 ppb, i.e.μ > 80.

We will apply a **t**-**test** for a single mean because the population standard deviation is **unknown**,

It is assumed that the **sample** **means** [tex]\bar{x}[/tex] = 91.

The adjusted sample presented is:

S = { 62, 78, 89, 95, 95, 137}

Calculate the sample **standard** **deviation** as follows:

[tex]\bar{x}[/tex] = 62 + 78 + 89 + 95 + 95 + 137 =80

[tex]s =\sqrt{\frac{1}{6-1} \times [(62-80)^2 + (78-80)^2 + (89-80)^2 + (95-80)^2 + (95-80)^2 + (137-80)^2]}[/tex]

s =28.66

[tex]t =\dfrac{\bar{x}-\mu}{s/ \sqrt{n} } = \dfrac{{91}-80}{28.6/ \sqrt{6} }=0.94[/tex]

Thus, the test **statistic value** is 0.94.

Compute the p-value of the test as follows:

p-value = p(tₙ₋₁ < t)

p-value = p(t₆₋₁ < t)

p-value = p(t₅ < t)

*Make use of a t-table.

As a result, the test has a p-value of 0.1515.

Rule of decision:

The null hypothesis will be rejected if the **p**-**value** of the test is less than the **significance** threshold, and vice versa.

p-value = 0.1515 > α = 0.05

At 5% significance, the **null** **hypothesis** will not be rejected.

As a result, we may conclude that the **average** **amount** of **arsenic** in chicken from **suppliers** is 80 ppb.

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What is the answer: 4(3x+2)-2

**Answer:**

**Step-by-step explanation:**

What is the answer:

4(3x+2)-2=

12x + 8 - 2 =

**12x + 6**

12x+6 because you multiply 4 times whats in the parethisss to get rid of it then simplify

your ethics professor decides to conduct a survey in your class about whether voluntary euthanasia should be legal in the united states. for her survey, she takes all 30 students' names and assigns them each a number. then she has a computer program indiscriminately choose 15 students. we could say that her survey will be:

Hence, the **survey of professor** will be representative survey.

A survey is a technique for **acquiring data** from a sample of people by asking pertinent questions with the goal of comprehending populations as a whole.

Everyone involved in the information economy, from corporations to the media to the government and academia, relies on surveys as a vital **source of information** and** insights.**

The survey of professor will be representative survey.

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pls help im faling geometry

Side |CB|:

Sin(60)= opposite side / hypotenuse

We know hyp=10

And opposite side =|CB|

=sin60= opp/10

So multiply both sides by 10

10sin60 = opp

|CB| = 10 (√3 ÷ 2) = 5 √3

Then we can use Pythagoras theorem to get the other side (or we can do the same thing as before using either cos60 or sin30 =|BA| /10)

a² + b² = c² where c is the hypotenuse

(5 √3)² + b² = 10²

(25)(3) + b² = 100

75+ b² = 100

-75 from both sides

b² = 25

So b = |BA| = √25 = 5

Sin(60)= opposite side / hypotenuse

We know hyp=10

And opposite side =|CB|

=sin60= opp/10

So multiply both sides by 10

10sin60 = opp

|CB| = 10 (√3 ÷ 2) = 5 √3

Then we can use Pythagoras theorem to get the other side (or we can do the same thing as before using either cos60 or sin30 =|BA| /10)

a² + b² = c² where c is the hypotenuse

(5 √3)² + b² = 10²

(25)(3) + b² = 100

75+ b² = 100

-75 from both sides

b² = 25

So b = |BA| = √25 = 5

Which of the following is the best estimate of the slope of the best -fit line for the graph at the right?

The best estimate of the **slope** of the best-fit line for the graph at the right will be 7/4.

The **ratio** of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope. A line that is moving up will have a positive **slope**, and a line that is moving down will have a negative slope if you view the line from left to right. A line's slope often indicates the steepness and direction of the line. By calculating the difference between the **coordinates** of the two points, (x₁,y₁) and (x₂,y₂), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

Given Data

x **coordinate** = 4

y coordinate = 7

**Slope** = y-coordinate/ x-coordinate

Slope = 7/4

The best estimate of the **slope** of the best-fit line for the graph at the right will be 7/4.

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The table below shows the population of the state of Washington for several decades starting in1900.Year1900191019201930194019501960Populationin millions0.521.151.371.571.742.392.86If the population is modeled by an exponential function of the form P(t) = a(b)^t, where t is yearssince 1900, which of the following would be a reasonable value for a?0.522.860.0351900
4. When you set up a meeting with the director, what are some things that you must consider?
In the diagram below, if < 2 = 123 , what would be the measure of < 7?
Write the inequality for the statement:the difference between a number and three fifths is a minimum of negative four sevenths
Can you help me ? This question has two parts. First, answer Part A. Then, answer Part B.Part AFill in the blank question.The cost of a school lunch is $2.50.Complete the table to show the total cost of 1, 2, 3, and 4 lunches.Lunches Bought 1 2 3 4Total Cost ($) Part BSelect the correct choices to complete the sentence.The total cost is , 1 of 2.Select Choice to the number of lunches bought because the ratios between the quantities , 2 of 2.Select Choice the same unit rate.
Given f(x) = -x - 1, find (1).
The Articles of Confderation created the first American GovernmentA.TrueB.False
Here are two expressions whose product is a new expression, A: 1. What could we put in the boxes to make A be a polynomial?
anyone know this one i was having troble
10. A 300-room hotel collects $125 per occupied room and does not collect any money for vacantrooms. Which of the following functions best represents how many dollars, d, the hotel generates ifthere are v vacant rooms in the hotel?O d = 125(300 + V)O d = 300(75 - v)O d = 300(75+)O d = 125(300 - V)
The cost of Saras Cell Phone is $200 plus $45 per month.How much will she spend on the cell phone in 3 years?. If Sara spent $1500, how long would she have had the phone?(Use Cost ((y=mx+b))
While we often think of spiders as insects, they are actually part of a distinct family. Spiders,along with scorpions, ticks, and mites, are part of a group of animals called arachnids. Spidersdiffer from insects in several ways. First, they have eight legs and two body segments, whileinsects have six legs and three body segments. Spiders have simple eyes, while insects havecompound eyes. Most insects have wings; spiders do not. While not all spiders spin webs, allspiders can make silk thread. This is another way in which they differ from insects.1. What is the central idea of this paragraph?
2. Using the periodic table above, which of the following molecules have a *stable configuration that satisfies the octet rule for all atoms? (1 pt)MgBrMgOSiOKCI2
C is the center of the circle with a diameter whose endpoints are the points A(-2, 1) and B(6, 9).What is the equation of circle C?
A central theme of transcendentalism is a cival disobedience or
How many political parties do we have in the U.S.? What are some topics and / or issues they disagree over?
Allison's math teacher asked her to write an irrational and rational number. She wrote the following numbers 46 Rational and 5.25 Irrational. Explain if you agree with Allison's identification of rational and irrational numbers.If you disagree, provide an example of an irrational and rational number.
ABC is rotated 90 counterclockwise around the origin to form A'B'C'. ThenAA'B'C' is dilated using a scale factor of with a center of dilation at vertex A'to form A"B"C". What are the coordinates of A"B"C"? Show your work.
LetW = the set of whole numbersF = the set of (non-negative) fractionsI = the set of integersN = the set of negative integersQ = the set of rational numbersSelect each set that is closed under addition.
4. A 1.5 kg turtle crawls in a straight line at a speed of 0.51 m/sec. What is the turtle'smomentum???